Guo, Zhifei; Llibre, Jaume Limit cycles of a class of discontinuous piecewise differential systems separated by the curve \(y= x^n\) via averaging theory. (English) Zbl 1510.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250187, 19 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A30 34C29 34E10 34C07 34C23 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250187, 19 p. (2022; Zbl 1510.34049) Full Text: DOI
Yang, Jihua Bifurcation from periodic orbits of \(n\)-dimensional piecewise smooth differential systems with two switching planes. (English) Zbl 1503.34051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250135, 19 p. (2022). MSC: 34A36 34E10 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250135, 19 p. (2022; Zbl 1503.34051) Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. (English) Zbl 1504.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34C23 34C05 34E10 37J40 34C20 34C07 34A30 PDFBibTeX XMLCite \textit{C. Pessoa} and \textit{R. Ribeiro}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022; Zbl 1504.34030) Full Text: DOI arXiv
Chen, Yuanyuan; Yu, Jiang Limit cycles bifurcating from a class of cubic Hamiltonian systems. (English) Zbl 1502.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34C05 34C07 34C08 34C23 34E10 37J40 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022; Zbl 1502.34038) Full Text: DOI
Yang, Junmin; Hu, Xing Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. (English) Zbl 1505.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C23 34C37 34E10 37J40 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{X. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022; Zbl 1505.34049) Full Text: DOI
Cai, Meilan; Han, Maoan The number of limit cycles for a class of cubic systems with multiple parameters. (English) Zbl 1504.34081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022). Reviewer: Qinlong Wang (Guilin) MSC: 34C07 34C05 34C23 34E10 34E05 PDFBibTeX XMLCite \textit{M. Cai} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022; Zbl 1504.34081) Full Text: DOI
Zhu, Chunyu; Tian, Yun Limit cycles from Hopf bifurcation in nongeneric quadratic reversible systems with piecewise perturbations. (English) Zbl 1498.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150254, 18 p. (2021). Reviewer: Changjian Liu (Zhuhai) MSC: 34C07 34C05 34C23 34C14 34E10 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150254, 18 p. (2021; Zbl 1498.34093) Full Text: DOI
Sun, Dan; Peng, Linping Limit cycles appearing from piecewise smooth perturbations to a reversible nonlinear center. (English) Zbl 1496.34074 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150250, 13 p. (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34C23 34C05 34A36 34C14 34C29 34E10 34C07 PDFBibTeX XMLCite \textit{D. Sun} and \textit{L. Peng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150250, 13 p. (2021; Zbl 1496.34074) Full Text: DOI
Liang, Feng; Liu, Yeqing; Chen, Chong The number of limit cycles bifurcating from a quadratic reversible center. (English) Zbl 1486.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150192, 18 p. (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 34E10 34C14 PDFBibTeX XMLCite \textit{F. Liang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150192, 18 p. (2021; Zbl 1486.34075) Full Text: DOI
Kashchenko, S. A. Bifurcating solutions and asymptotics in logistic equation with state-dependent delays. (English) Zbl 1497.34114 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2150172, 9 p. (2021). MSC: 34K60 34K18 34K13 34K20 34K17 34K26 34K43 92D25 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2150172, 9 p. (2021; Zbl 1497.34114) Full Text: DOI
Ke, Ai; Han, Maoan Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. (English) Zbl 1489.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021). Reviewer: Xiang Zhang (Shanghai) MSC: 34C07 34C05 34C23 34A36 34E10 PDFBibTeX XMLCite \textit{A. Ke} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021; Zbl 1489.34050) Full Text: DOI
Sultanov, Oskar A. Damped perturbations of systems with center-saddle bifurcation. (English) Zbl 1482.34108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150137, 20 p. (2021). MSC: 34C23 34E10 34C05 34D20 34D10 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150137, 20 p. (2021; Zbl 1482.34108) Full Text: DOI arXiv
Palacios, Antonio; Buono, Pietro-Luciano; In, Visarath; Longhini, Patrick On the scaling law of phase drift in coupled nonlinear oscillators for precision timing. (English) Zbl 1465.34051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050253, 14 p. (2020). MSC: 34C15 34C14 34E10 34C29 34D06 PDFBibTeX XMLCite \textit{A. Palacios} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050253, 14 p. (2020; Zbl 1465.34051) Full Text: DOI
Huang, Jianfeng; Peng, Zhixiang Bifurcation of a kind of piecewise smooth generalized Abel equation via first and second order analyses. (English) Zbl 1465.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050247, 20 p. (2020). Reviewer: Yun Tian (Shanghai) MSC: 34C23 34A36 34C05 34C07 37C60 34E10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Peng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050247, 20 p. (2020; Zbl 1465.34053) Full Text: DOI
Yu, Pei; Zeng, Yanni Visualization of four limit cycles in near-integrable quadratic polynomial systems. (English) Zbl 1506.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050236, 11 p. (2020). MSC: 34C05 34C07 37J40 34E10 34C23 PDFBibTeX XMLCite \textit{P. Yu} and \textit{Y. Zeng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050236, 11 p. (2020; Zbl 1506.34049) Full Text: DOI arXiv
Wang, Jiaxin; Zhao, Liqin The cyclicity of period annulus of degenerate quadratic Hamiltonian systems with polycycles \(S^{(2)}\) or \(S^{(3)}\) under perturbations of piecewise smooth polynomials. (English) Zbl 1462.34068 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050230, 18 p. (2020). MSC: 34C23 34C37 34E10 34C05 37J40 PDFBibTeX XMLCite \textit{J. Wang} and \textit{L. Zhao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050230, 18 p. (2020; Zbl 1462.34068) Full Text: DOI
Zhang, Li; Wang, Chenchen; Hu, Zhaoping Limit cycle bifurcations from an order-3 nilpotent center of cubic Hamiltonian systems perturbed by cubic polynomials. (English) Zbl 1455.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050126, 11 p. (2020). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 34C07 37J40 34E10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050126, 11 p. (2020; Zbl 1455.34041) Full Text: DOI
Tian, R. L.; Wang, T.; Zhou, Y. F.; Li, J.; Zhu, S. T. Heteroclinic chaotic threshold in a nonsmooth system with jump discontinuities. (English) Zbl 1472.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050141, 11 p. (2020). Reviewer: Changjian Liu (Zhuhai) MSC: 34A36 34A37 34C07 34C23 34E10 34C37 34C28 PDFBibTeX XMLCite \textit{R. L. Tian} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050141, 11 p. (2020; Zbl 1472.34025) Full Text: DOI
Sheng, Lijuan; Han, Maoan; Tian, Yun On the number of limit cycles bifurcating from a compound polycycle. (English) Zbl 1451.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020). Reviewer: Stefano Biagi (Milano) MSC: 34C07 34C05 34C37 34C23 34E10 PDFBibTeX XMLCite \textit{L. Sheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020; Zbl 1451.34034) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of canard explosion in the Brusselator equations. (English) Zbl 1447.34023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020). MSC: 34A45 34C23 34E17 34C20 34E05 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 5, Article ID 2050078, 10 p. (2020; Zbl 1447.34023) Full Text: DOI
Zhou, Zhengxin; Romanovski, Valery G.; Yu, Jiang Centers and limit cycles of a generalized cubic Riccati system. (English) Zbl 1445.34054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050021, 10 p. (2020). MSC: 34C05 34C25 34C23 34E10 34C07 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050021, 10 p. (2020; Zbl 1445.34054) Full Text: DOI arXiv
Yang, Jihua Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. (English) Zbl 1445.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050042, 17 p. (2020). MSC: 34A36 34C05 34C07 34C23 34E10 PDFBibTeX XMLCite \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050042, 17 p. (2020; Zbl 1445.34041) Full Text: DOI
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. (English) Zbl 1436.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020). MSC: 34C23 34C05 34C37 34C14 34E10 PDFBibTeX XMLCite \textit{B.-W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050017, 18 p. (2020; Zbl 1436.34035) Full Text: DOI
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang Second order Melnikov functions of piecewise Hamiltonian systems. (English) Zbl 1436.37071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050016, 11 p. (2020). MSC: 37J46 37J40 34E10 34C23 34C05 PDFBibTeX XMLCite \textit{P. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050016, 11 p. (2020; Zbl 1436.37071) Full Text: DOI
Bashkirtseva, Irina; Ryashko, Lev Stochastic sensitivity and method of principal directions in excitability analysis of the Hodgkin-Huxley model. (English) Zbl 1436.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1950186, 9 p. (2019). MSC: 34C60 92C20 34F05 34E10 37C60 PDFBibTeX XMLCite \textit{I. Bashkirtseva} and \textit{L. Ryashko}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1950186, 9 p. (2019; Zbl 1436.34043) Full Text: DOI
Fan, Zhihui; Du, Zhengdong Bifurcation of periodic orbits crossing switching manifolds multiple times in planar piecewise smooth systems. (English) Zbl 1435.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950160, 16 p. (2019). MSC: 34A36 34E10 34C23 34C05 34A45 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{Z. Du}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950160, 16 p. (2019; Zbl 1435.34025) Full Text: DOI
Huang, Jianfeng; Jin, Yuye Bifurcation of a kind of 1D piecewise differential equation and its application to piecewise planar polynomial systems. (English) Zbl 1422.34133 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950072, 22 p. (2019). MSC: 34C23 34E10 34C05 34A36 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Jin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950072, 22 p. (2019; Zbl 1422.34133) Full Text: DOI
Smirnova, Vera B.; Proskurnikov, Anton V. Volterra equations with periodic nonlinearities: multistability, oscillations and cycle slipping. (English) Zbl 1419.45004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950068, 26 p. (2019). MSC: 45J05 45M05 45M10 45M15 PDFBibTeX XMLCite \textit{V. B. Smirnova} and \textit{A. V. Proskurnikov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950068, 26 p. (2019; Zbl 1419.45004) Full Text: DOI
Wang, Jihua; Dai, Yanfei Cyclicity of a family of generic reversible quadratic systems with one center. (English) Zbl 1414.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1950035, 16 p. (2019). MSC: 34C23 34E10 34C07 34C45 34C05 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Dai}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1950035, 16 p. (2019; Zbl 1414.34026) Full Text: DOI
Jiang, Fangfang; Ji, Zhicheng; Wang, Yan On the number of limit cycles of discontinuous Liénard polynomial differential systems. (English) Zbl 1412.34116 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850175, 14 p. (2018). MSC: 34C07 34A36 34A34 34C29 34E10 PDFBibTeX XMLCite \textit{F. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 14, Article ID 1850175, 14 p. (2018; Zbl 1412.34116) Full Text: DOI
Zhu, Hongying; Qin, Bin; Yang, Sumin; Wei, Minzhi Poincaré bifurcation of some nonlinear oscillator of generalized Liénard type using symbolic computation methods. (English) Zbl 1397.34071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850096, 13 p. (2018). MSC: 34C23 34C15 34E10 34C05 34C37 34-04 PDFBibTeX XMLCite \textit{H. Zhu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850096, 13 p. (2018; Zbl 1397.34071) Full Text: DOI
Liu, Yuanyuan; Li, Feng; Dang, Pei Bifurcation analysis in a class of piecewise nonlinear systems with a nonsmooth heteroclinic loops. (English) Zbl 1386.34071 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850026, 16 p. (2018). MSC: 34C23 34A36 34E10 34C37 34C05 PDFBibTeX XMLCite \textit{Y. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850026, 16 p. (2018; Zbl 1386.34071) Full Text: DOI
Moghimi, Pegah; Asheghi, Rasoul; Kazemi, Rasool On the number of limit cycles bifurcated from a near-Hamiltonian system with a double homoclinic loop of cuspidal type surrounded by a heteroclinic loop. (English) Zbl 1386.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850004, 21 p. (2018). MSC: 34C23 34C05 34C37 37J40 34E10 PDFBibTeX XMLCite \textit{P. Moghimi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850004, 21 p. (2018; Zbl 1386.34072) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Romanovski, Valery G. The maximal number of limit cycles in perturbations of piecewise linear Hamiltonian systems with two saddles. (English) Zbl 1377.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750126, 14 p. (2017). MSC: 34C07 34A36 37J40 34E10 34C23 34C05 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750126, 14 p. (2017; Zbl 1377.34042) Full Text: DOI
Huang, Bo Bifurcation of limit cycles from the center of a quintic system via the averaging method. (English) Zbl 1367.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750072, 16 p. (2017). MSC: 34C23 34E10 34C05 34C29 PDFBibTeX XMLCite \textit{B. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750072, 16 p. (2017; Zbl 1367.34043) Full Text: DOI
Liang, Feng; Wang, Dechang Limit cycle bifurcations near a piecewise smooth generalized homoclinic loop with a saddle-fold point. (English) Zbl 1367.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750071, 25 p. (2017). MSC: 34C37 34A36 37J40 34C07 34C23 37C05 34E10 PDFBibTeX XMLCite \textit{F. Liang} and \textit{D. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750071, 25 p. (2017; Zbl 1367.34050) Full Text: DOI
Moghimi, Pegah; Asheghi, Rasoul; Kazemi, Rasool On the number of limit cycles bifurcated from some Hamiltonian systems with a double homoclinic loop and a heteroclinic loop. (English) Zbl 1366.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017). MSC: 34C07 34C23 34E05 34E10 34C37 34C05 PDFBibTeX XMLCite \textit{P. Moghimi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017; Zbl 1366.34047) Full Text: DOI
Lu, Lianghaolong; Peng, Linping; Feng, Zhaosheng Number of critical periods for perturbed rigidly isochronous centers. (English) Zbl 1354.34063 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650220, 19 p. (2016). MSC: 34C07 34C05 34E10 34C23 PDFBibTeX XMLCite \textit{L. Lu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1650220, 19 p. (2016; Zbl 1354.34063) Full Text: DOI
Bo, Xuekang; Tian, Yun Limit cycles for a class of piecewise smooth quadratic differential systems with multiple parameters. (English) Zbl 1352.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650171, 11 p. (2016). MSC: 34C05 34C23 34A36 34E10 PDFBibTeX XMLCite \textit{X. Bo} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650171, 11 p. (2016; Zbl 1352.34041) Full Text: DOI
Sheng, Lijuan; Han, Maoan; Romanovsky, Valery On the number of limit cycles by perturbing a piecewise smooth Liénard model. (English) Zbl 1352.34045 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650168, 16 p. (2016). MSC: 34C07 34A36 34A34 34C05 34C23 34E10 PDFBibTeX XMLCite \textit{L. Sheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650168, 16 p. (2016; Zbl 1352.34045) Full Text: DOI
Bakhshalizadeh, Ali; Zangeneh, Hamid R. Z.; Kazemi, Rasool Bifurcation of limit cycles in a near-Hamiltonian system with a cusp of order two and a saddle. (English) Zbl 1349.34102 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650180, 14 p. (2016). MSC: 34C05 34C23 34E10 PDFBibTeX XMLCite \textit{A. Bakhshalizadeh} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650180, 14 p. (2016; Zbl 1349.34102) Full Text: DOI
Qin, B. W.; Chung, K. W.; Fahsi, A.; Belhaq, M. On the heteroclinic connections in the 1:3 resonance problem. (English) Zbl 1345.34077 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650143, 10 p. (2016). MSC: 34C37 34C23 34C05 34E10 PDFBibTeX XMLCite \textit{B. W. Qin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650143, 10 p. (2016; Zbl 1345.34077) Full Text: DOI
Xiong, Yanqin Limit cycle bifurcations by perturbing a piecewise Hamiltonian system with a double homoclinic loop. (English) Zbl 1343.34096 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 6, Article ID 1650103, 16 p. (2016). MSC: 34C23 34C05 34C37 34E10 37J45 34A36 PDFBibTeX XMLCite \textit{Y. Xiong}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 6, Article ID 1650103, 16 p. (2016; Zbl 1343.34096) Full Text: DOI
Kou, Kit Ian; Lou, Yijun; Xia, Yong-Hui Zeros of a class of transcendental equation with application to bifurcation of DDE. (English) Zbl 1338.34128 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650062, 14 p. (2016). MSC: 34K18 34K20 65H05 34E10 PDFBibTeX XMLCite \textit{K. I. Kou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 4, Article ID 1650062, 14 p. (2016; Zbl 1338.34128) Full Text: DOI
Hong, Xiaochun; Xie, Shaolong; Chen, Longwei Estimating the number of zeros for Abelian integrals of quadratic reversible centers with orbits formed by higher-order curves. (English) Zbl 1334.34080 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650020, 16 p. (2016). MSC: 34C08 34C07 34C05 34C14 34E10 PDFBibTeX XMLCite \textit{X. Hong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 2, Article ID 1650020, 16 p. (2016; Zbl 1334.34080) Full Text: DOI
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones. (English) Zbl 1327.34067 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550144, 11 p. (2015). MSC: 34C23 34E10 34A36 34C05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550144, 11 p. (2015; Zbl 1327.34067) Full Text: DOI
Peng, Linping; Lu, Lianghaolong; Feng, Zhaosheng A higher-order period function and its application. (English) Zbl 1326.34073 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550140, 23 p. (2015). MSC: 34C25 34C23 34E10 34C05 PDFBibTeX XMLCite \textit{L. Peng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550140, 23 p. (2015; Zbl 1326.34073) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Wang, Yong Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems. (English) Zbl 1326.34069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550135, 11 p. (2015). MSC: 34C23 34C05 34C25 34E10 34C20 34C07 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550135, 11 p. (2015; Zbl 1326.34069) Full Text: DOI
Rebollo-Perdomo, Salomón Medium amplitude limit cycles of some classes of generalized Liénard systems. (English) Zbl 1326.34062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550128, 8 p. (2015). MSC: 34C07 34C05 34E10 34C23 PDFBibTeX XMLCite \textit{S. Rebollo-Perdomo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550128, 8 p. (2015; Zbl 1326.34062) Full Text: DOI arXiv
Xiong, Yanqing Limit cycle bifurcations by perturbing a Hamiltonian system with a cuspidal loop of order \(m\). (English) Zbl 1317.34078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 6, Article ID 1550083, 13 p. (2015). MSC: 34C23 37J40 34C05 34E10 37G15 PDFBibTeX XMLCite \textit{Y. Xiong}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 6, Article ID 1550083, 13 p. (2015; Zbl 1317.34078) Full Text: DOI
Ma, Yunlei; Wu, Yuhai On the limit cycles of a perturbed \(Z_{3}\)-equivariant planar quintic vector field. (English) Zbl 1317.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550073, 20 p. (2015). MSC: 34C05 34E10 34C37 34C23 34C07 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{Y. Wu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550073, 20 p. (2015; Zbl 1317.34038) Full Text: DOI
Li, Na; Han, Maoan Critical period bifurcation by perturbing a reversible rigidly isochronous center with multiple parameters. (English) Zbl 1317.34037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550070, 11 p. (2015). MSC: 34C05 34C23 34C14 34C25 34E10 PDFBibTeX XMLCite \textit{N. Li} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550070, 11 p. (2015; Zbl 1317.34037) Full Text: DOI
Dua, Aseem; Marathe, Amol Computing Melnikov curves for periodically perturbed piecewise smooth oscillators. (English) Zbl 1317.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550067, 18 p. (2015). MSC: 34C15 34A36 34C60 34C37 34E10 70K28 PDFBibTeX XMLCite \textit{A. Dua} and \textit{A. Marathe}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550067, 18 p. (2015; Zbl 1317.34053) Full Text: DOI
Geng, Fengjie; Lian, Hairong Bifurcation of limit cycles from a quasi-homogeneous degenerate center. (English) Zbl 1309.34066 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550007, 8 p. (2015). MSC: 34C23 34C05 34C08 34C07 34E10 PDFBibTeX XMLCite \textit{F. Geng} and \textit{H. Lian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550007, 8 p. (2015; Zbl 1309.34066) Full Text: DOI
Shang, Desheng; Zhang, Yaoming Bifurcations in a cubic system with a degenerate saddle point. (English) Zbl 1304.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1450144, 13 p. (2014). MSC: 34A34 34C05 34C23 34C37 34E10 PDFBibTeX XMLCite \textit{D. Shang} and \textit{Y. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 11, Article ID 1450144, 13 p. (2014; Zbl 1304.34025) Full Text: DOI
Chen, Fengjuan; Li, Jibin Strange attractors in a three-dimensional autonomous polynomial equation. (English) Zbl 1301.34013 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 9, Article ID 1450111, 13 p. (2014). MSC: 34A34 34C45 34C37 34D10 34C28 34D45 34C23 34E10 37D45 PDFBibTeX XMLCite \textit{F. Chen} and \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 9, Article ID 1450111, 13 p. (2014; Zbl 1301.34013) Full Text: DOI
Peng, Linping; Feng, Zhaosheng Bifurcation of critical periods from a quartic isochronous center. (English) Zbl 1296.34078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450089, 16 p. (2014). MSC: 34C07 34E10 34C23 34C05 PDFBibTeX XMLCite \textit{L. Peng} and \textit{Z. Feng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450089, 16 p. (2014; Zbl 1296.34078) Full Text: DOI
Morozov, Albert D.; Kostromina, Olga S. On periodic perturbations of asymmetric Duffing-Van-der-Pol equation. (English) Zbl 1296.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 5, Article ID 1450061, 16 p. (2014). MSC: 34C15 34C05 34C37 34E10 PDFBibTeX XMLCite \textit{A. D. Morozov} and \textit{O. S. Kostromina}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 5, Article ID 1450061, 16 p. (2014; Zbl 1296.34090) Full Text: DOI arXiv
Qi, Minghui; Zhao, Liqin Bifurcations of limit cycles from a quintic Hamiltonian system with a figure double-fish. (English) Zbl 1275.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 7, Article ID 1350116, 15 p. (2013). MSC: 34C08 34E10 34C05 34C23 PDFBibTeX XMLCite \textit{M. Qi} and \textit{L. Zhao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 7, Article ID 1350116, 15 p. (2013; Zbl 1275.34049) Full Text: DOI
Wu, Yuhai; Han, Maoan On the number and distributions of limit cycles of a planar quartic vector field. (English) Zbl 1270.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013). MSC: 34C07 34E10 34D20 34C37 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013; Zbl 1270.34053) Full Text: DOI
Zhang, Tonghua; Zang, Hong; Tade, Mose O. Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop. (English) Zbl 1270.34089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350067, 12 p. (2013). MSC: 34C23 34C37 34C05 34E10 34D20 PDFBibTeX XMLCite \textit{T. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350067, 12 p. (2013; Zbl 1270.34089) Full Text: DOI
Llibre, Jaume; Valls, Claudia On the number of limit cycles for a generalization of Liénard polynomial differential systems. (English) Zbl 1270.34052 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350048, 16 p. (2013). MSC: 34C07 34C05 34C23 34C29 34E10 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350048, 16 p. (2013; Zbl 1270.34052) Full Text: DOI
Wang, Jihua; Xiao, Dongmei; Han, Maoan The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. (English) Zbl 1270.34057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013). MSC: 34C08 34C07 34C37 37J40 34E10 34E05 PDFBibTeX XMLCite \textit{J. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013; Zbl 1270.34057) Full Text: DOI
Hu, Zhaoping; Gao, Bin; Romanovski, Valery G. Limit cycle bifurcations from centers of symmetric Hamiltonian systems perturbed by cubic polynomials. (English) Zbl 1270.34083 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350043, 20 p. (2013). MSC: 34C23 34E10 34C14 37G40 34C25 37J20 34C05 PDFBibTeX XMLCite \textit{Z. Hu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350043, 20 p. (2013; Zbl 1270.34083) Full Text: DOI arXiv
Ferragut, Antoni; Llibre, Jaume; Pantazi, Chara Polynomial vector fields in \(\mathbb R^3\) with infinitely many limit cycles. (English) Zbl 1270.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350029, 10 p. (2013). MSC: 34C05 34E10 PDFBibTeX XMLCite \textit{A. Ferragut} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350029, 10 p. (2013; Zbl 1270.34041) Full Text: DOI
Afsharnezhad, Z.; Amaleh, M. Karimi Extension of Chicone’s method for perturbation systems of three parameters with application to the Liénard system. (English) Zbl 1270.34039 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 3, Article ID 1250065, 8 p. (2012). MSC: 34C05 34E10 34D10 34A35 PDFBibTeX XMLCite \textit{Z. Afsharnezhad} and \textit{M. K. Amaleh}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 3, Article ID 1250065, 8 p. (2012; Zbl 1270.34039) Full Text: DOI
Pavlovskaia, Ekaterina; Horton, Bryan; Wiercigroch, Marian; Lenci, Stefano; Rega, Giuseppe Approximate rotational solutions of pendulum under combined vertical and horizontal excitation. (English) Zbl 1258.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250100, 13 p. (2012). MSC: 34C15 34C23 34E10 PDFBibTeX XMLCite \textit{E. Pavlovskaia} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250100, 13 p. (2012; Zbl 1258.34072) Full Text: DOI
Fahsi, Abdelhak; Belhaq, Mohamed Analytical approximation of heteroclinic bifurcation in a 1:4 resonance. (English) Zbl 1258.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250294, 10 p. (2012). MSC: 34C37 34C15 34C23 34E10 PDFBibTeX XMLCite \textit{A. Fahsi} and \textit{M. Belhaq}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250294, 10 p. (2012; Zbl 1258.34090) Full Text: DOI
Song, Yan Abelian integrals for a kind of non-Hamiltonian integrable systems under cubic polynomial perturbations. (English) Zbl 1215.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 789-798 (2011). MSC: 34C08 34E10 34A05 PDFBibTeX XMLCite \textit{Y. Song}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 789--798 (2011; Zbl 1215.34038) Full Text: DOI
Gołaszewski, Ł. J.; Sławiński, P.; Żołądek, H. Limit cycles in 3D Lotka–Volterra systems appearing after perturbation of Hopf center. (English) Zbl 1165.34346 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 12, 3647-3656 (2008). MSC: 34C23 37G10 34C05 34E10 92D25 PDFBibTeX XMLCite \textit{Ł. J. Gołaszewski} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 12, 3647--3656 (2008; Zbl 1165.34346) Full Text: DOI
Chan, Whei-Ching C.; Lin, Su-Shing Existence and stability of multibump solutions of an integral-differential equation. (English) Zbl 1160.45005 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 11, 4099-4115 (2007). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 45K05 35R10 92B20 45M10 45M05 PDFBibTeX XMLCite \textit{W.-C. C. Chan} and \textit{S.-S. Lin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 11, 4099--4115 (2007; Zbl 1160.45005) Full Text: DOI
Suckley, Rebecca; Biktashev, Vadim N. The asymptotic structure of the Hodgkin-Huxley equations. Virtual tissue engineering of the heart. (English) Zbl 1057.37079 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 12, 3805-3825 (2003). MSC: 37N25 34E10 34E13 92C50 PDFBibTeX XMLCite \textit{R. Suckley} and \textit{V. N. Biktashev}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 12, 3805--3825 (2003; Zbl 1057.37079) Full Text: DOI
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N. Short-wave asymptotics of the information entropy of a circular membrane. (English) Zbl 1051.82512 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2387-2392 (2002). MSC: 82C05 33C10 94A17 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2387--2392 (2002; Zbl 1051.82512) Full Text: DOI
Eleonskij, V. M.; Korolev, V. G. On bifurcations in the Schrödinger problem admitting of an existence of nonlinear shift operators. (English) Zbl 0887.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1727-1740 (1995). MSC: 34L40 81Q10 PDFBibTeX XMLCite \textit{V. M. Eleonskij} and \textit{V. G. Korolev}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1727--1740 (1995; Zbl 0887.34075) Full Text: DOI
Norris, J. W. The nonlinear Mathieu equation. (English) Zbl 0873.34027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 71-86 (1994). MSC: 34C23 34E10 34C15 PDFBibTeX XMLCite \textit{J. W. Norris}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 1, 71--86 (1994; Zbl 0873.34027) Full Text: DOI